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Finding the Third Proportional to 304,332 and 474,920

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Solution

The third proportional to 304,332 and 474,920 is: 741,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,332 : 474,920 = 474,920 : x
  2. Step 2: Convert to fraction form
    304,332/474,920 = 474,920/x
  3. Step 3: Cross multiply
    304,332x = 474,920 × 474,920
  4. Step 4: Simplify right side
    304,332x = 225,549,006,400
  5. Step 5: Solve for x
    x = 225,549,006,400/304,332
  6. Step 6: Final answer
    x = 741,128.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.